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Evaluate expressions using structure (advanced)

If 4a+8b+4c=14a + 8b + 4c = 1 ,
what is 16a+16c+32b16a + 16c + 32b?
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}